If I wanted to determine whether there was a relation between age and HDL cholesterol and randomly selected 5 patients and obtained the following data. How would I compute the linear correlation coefficient and would a linear relation exist between age and HDL ?cholesterol?
n n Age HDL Cholesterol
3 0.997 17 0.482 38 57
4 0.950 18 0.468 46 34
5 0.878 19 0.456 61 42
6 0.811 20 0.444 49 55
7 0.754 21 0.433 44 28
8 0.707 22 0.423
9 0.666 23 0.413
10 0.632 24 0.404
11 0.602 25 0.396
12 0.576 26 0.388
13 0.553 27 0.381
14 0.532 28 0.374
15 0.514 29 0.367
16 0.497 30 0.361